Parts of a whole, equivalence, decimals and percentages.
A fraction names equal parts of a whole: ¾ means 3 of 4 equal parts. Decimals write the same idea in tenths and hundredths, so ¾ = 0.75, and a percentage is the number of hundredths, so 0.75 = 75%.
Sharing into equal groups helps with fractions, and place value helps with reading decimals.
One error to watch for: thinking a larger denominator means a larger fraction. For example, choosing ⅛ as bigger than ¼ because 8 is bigger than 4.
Fractions and decimals are two notations for the same idea: quantities between the whole numbers. A fraction names a number of equal parts; a decimal extends place value to the right of the point. Percentages are a third notation for the same thing, fixed to hundredths.
This is where many children first feel that maths has stopped making sense, and there is a specific reason. Almost everything they know about number stops being reliable: multiplying can make things smaller, 1/3 is bigger than 1/4 despite 4 being bigger than 3, and 0.5 is the same size as 0.50. The rules are not wrong — they were only ever rules about whole numbers.
Interactive practice with instant feedback — free, ad-free and playable in the browser.
5-7 · simulation
Share cake slices equally among plates to meet early division and fractions for ages 5 to 7.
8-10 · speed
Race between frozen research stations by adding and subtracting mixed numbers against a friendly timer, for ages 8 to 10.
8-10 · drag-drop
Drag fraction stone tablets onto their simplest-form targets inside an ancient temple, matching equivalent fractions, for ages 8 to 10.
8-10 · simulation
Scale recipe ingredients up by a whole-number factor at a chef academy, using ratio to set each amount, for ages 8 to 10.
8-10 · arcade
Pop the treasure balloon showing a fraction greater than one half on a sky pirate adventure, for ages 8 to 10.
8-10 · drag-drop
Order decimals from smallest to largest on a deep sea research mission, for ages 8 to 10.
11-12 · quiz
Convert between fractions, decimals and percentages on a global finance exchange, for ages 11 to 12.
11-12 · simulation
Read investment scenarios and calculate simple and compound interest in a future wealth laboratory, for ages 11 to 12.
11-12 · puzzle
Complete ratio relationships on a grid in an engineering systems network, for ages 11 to 12.
13-14 · simulation
Evaluate market moves with percentage change, profit and loss in a global financial intelligence center, for ages 13 to 14.
11-12 · simulation
Line the decimal points up, then add or subtract. For ages 11 to 12.
11-12 · arcade
The digits are given — decide where the decimal point belongs. For ages 11 to 12.
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Every worksheet prints as a clean A4 PDF with a separate answer key.
5-7 · fill-in
Halve each even number and write the answer. A halving-fact worksheet for Grade 2 with five levels and answer keys.
5 levels · PDF + answer key
8-10 · fill-in
Add and subtract mixed numbers with the same denominator and write the answer. A Grade 4–5 fractions worksheet with answer keys.
5 levels · PDF + answer key
8-10 · word-problem
Solve real-world word problems converting between hours, minutes and seconds. A Grade 4 time worksheet with answer keys.
5 levels · PDF + answer key
8-10 · color-by-number
Identify each fraction, then colour the picture using the matching colour. A Grade 3–4 fraction-recognition colour activity with answer keys.
5 levels · PDF + answer key
8-10 · number-line
Mark percentage values on a 0–100% number line. A Grade 4–5 percentages worksheet with answer keys.
5 levels · PDF + answer key
8-10 · fill-in
Add and subtract decimals and write the answer. A Grade 4–5 decimal-operations worksheet with five levels and answer keys.
5 levels · PDF + answer key
8-10 · multiple-choice
Add and subtract fractions and choose the correct answer from four options. A Grade 4–5 fractions worksheet with answer keys.
5 levels · PDF + answer key
8-10 · number-line
Mark and compare fractions on a shared number line. A Grade 3 fraction-comparison worksheet with answer keys.
5 levels · PDF + answer key
8-10 · color-by-number
Find a percentage of an amount, then colour the picture by the answer. A Grade 5 percentages colour activity with answer keys.
5 levels · PDF + answer key
8-10 · fill-in
Convert numbers to and from Roman numerals. A Grade 4–5 number-systems worksheet with five levels and answer keys.
5 levels · PDF + answer key
11-12 · word-problem
Solve real-world percentage increase and decrease problems. A Grade 7 percentages worksheet with answer keys.
5 levels · PDF + answer key
13-14 · fill-in
Simplify surds and apply the laws of indices. A Grade 8–9 algebra worksheet with five levels and answer keys.
5 levels · PDF + answer key
Showing 12 of 22. Browse all worksheets
Fractions & Decimals appears across several grades on this site, with the skills becoming more advanced over time. Jump to a grade page for a broader set of activities at that level.
Keep a visual model in play far longer than feels necessary — a bar, a number line or a circle. Children who move to rules too early can often follow a procedure they cannot picture, which holds up until the questions get less predictable.
Two misconceptions are worth watching for specifically: that a bigger denominator means a bigger fraction, and that 0.5 is smaller than 0.45 because it has fewer digits. Both are sensible whole-number thinking applied where it does not hold, so the fix is a picture rather than a correction.
Browse Math by Grade for a full set of age-appropriate activities rather than a single strand.
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